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Finding the Third Proportional to 968,523,414,105 and 2,080,778,820,600

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Solution

The third proportional to 968,523,414,105 and 2,080,778,820,600 is: 4,470,351,916,332.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,523,414,105 : 2,080,778,820,600 = 2,080,778,820,600 : x
  2. Step 2: Convert to fraction form
    968,523,414,105/2,080,778,820,600 = 2,080,778,820,600/x
  3. Step 3: Cross multiply
    968,523,414,105x = 2,080,778,820,600 × 2,080,778,820,600
  4. Step 4: Simplify right side
    968,523,414,105x = 4,329,640,500,257,527,089,332,224
  5. Step 5: Solve for x
    x = 4,329,640,500,257,527,089,332,224/968,523,414,105
  6. Step 6: Final answer
    x = 4,470,351,916,332.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.